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96. Which cubic graphs have quadrangulated spherical immersions?Lowell Abrams, Yosef Berman, Vance Faber, Michael Murphy, 2026, izvirni znanstveni članek Opis: We consider spherical quadrangulations – spherical embeddings of multigraphs, possibly with loops, so that every face has boundary walk of length 4 – in which all vertices have degree 3 or 4. Interpreting each degree 4 vertex as a crossing, these embeddings can also be thought of as transversal immersions of cubic graphs which we refer to as the extracted graphs. We also consider quadrangulations of the disk in which interior vertices have degree 3 or 4 and boundary vertices have degree 2 or 3. First, we classify all such quadrangulations of the disk. Then, we provide four methods for constructing spherical quadrangulations, two of which use quadrangulations of the disk as input. Two of these methods provide one-parameter families of quadrangulations, for which we prove that the sequence of isomorphism types of extracted graphs is periodic. We close with a description of computer computations which yielded spherical quadrangulations for all but three cubic multigraphs on eight vertices.
Ključne besede: spherical embedding, immersion, quadrangulation
Objavljeno v RUP: 17.03.2026; Ogledov: 343; Prenosov: 10
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97. Decompositions of the wreath product of certain directed graphs into directed hamiltonian cyclesAlice Lacaze-Masmonteil, 2026, izvirni znanstveni članek Opis: We affirm several special cases of a conjecture that first appears in Alspach et al. (1987) which stipulates that the wreath (lexicographic) product of two hamiltonian decomposable di- rected graphs is also hamiltonian decomposable. Specifically, we show that the wreath product of hamiltonian decomposable directed graph G, such that |V (G)| is even and |V (G)| ⩾ 3, with a directed m-cycle such that m ⩾ 4 or the complete symmetric directed graph on m vertices such that m ⩾ 3, is hamiltonian decomposable. We also show the wreath product of a directed n-cycle, where n is even, with a directed m-cycle, where m ∈ {2, 3}, is not hamiltonian decomposable.
Ključne besede: wreath product, decompositions, hamiltonian cycle, directed graphs
Objavljeno v RUP: 17.03.2026; Ogledov: 303; Prenosov: 11
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98. Student Upskilling and Industry Value in the INDUSAC Project : Evidence from Quick, Challenge-Driven Co-Creation MechanismŠpela Kunej, Duško Odić, Urška Mrgole, Robert Premk, Marjeta Trobec, izvirni znanstveni članek Opis: The INDUSAC project, launched in 2022 under Horizon Europe, connected industry and academia by involving students in solving real-world problems. Coordinated by the Jožef Stefan Institute, INDUSAC paired companies with international, interdisciplinary teams of students for co-creation projects lasting 4–8 weeks, based on multiple calls for applications. This article evaluates student engagement across three call periods – February to May 2024, June to October 2024, and November 2024 to July 2025 – using surveys before and after the projects. Results showed high initial student confidence and measurable improvements in skills such as negotiation and international teamwork. Satisfaction with the process and online platform increased among both students and companies, indicating effective adaptation based on feedback. While companies appreciated student creativity, they expressed a need for greater market viability. These findings validate INDUSAC’s co-creation mechanism, enhancing knowledge transfer while fostering an environment that prepares students for successful global careers.
Ključne besede: student upskilling, industry value, INDUSAC project
Objavljeno v RUP: 11.03.2026; Ogledov: 356; Prenosov: 11
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99. Supporting Knowledge Transfer and Social Impact : The SSHA Impact Fund of the University of LjubljanaTanja Kovačič, izvirni znanstveni članek Opis: In recent years, the global research and higher education landscape has shifted from focusing solely on scientific excellence to demonstrating societal impact. Universities are now expected not only to generate knowledge but also to ensure that it contributes to social, cultural, environmental, and economic development. European and national strategies alike emphasise the role of research in addressing major societal challenges and shaping a sustainable, inclusive future. Within this context, the University of Ljubljana has recognised the importance of supporting researchers in achieving societal impact. Beyond its traditional missions, the University of Ljubljana has strengthened its efforts in knowledge transfer – the process of translating research results into societal benefits. This reflects a growing awareness that universities carry not only intellectual but also social responsibility to engage, co-create, and contribute to community wellbeing. The article examines how the University of Ljubljana supports researchers in enhancing societal impact, focusing on strategic frameworks, institutional mechanisms, and practical initiatives. It highlights the SSHA Impact Fund, established in 2024 as an innovative tool for promoting socially responsible research. The analysis draws on experience from the Knowledge Transfer Office within the Social Sciences, Humanities, and Arts (SSHA) and discusses key challenges and emerging best practices in this developing field.
Ključne besede: knowledge transfer, social impact, University of Ljubljana
Objavljeno v RUP: 11.03.2026; Ogledov: 336; Prenosov: 9
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100. Teaching for Impact, Not Intention : How Course Design Converts Learning into Community ActionAlenka Slavec Gomezel, Barbara Hvalič Erzetič, izvirni znanstveni članek Opis: Teaching social entrepreneurship encourages students to consider societal challenges, yet course participation alone rarely leads to sustained engagement. This article presents a practice-based instructional model developed at the School of Economics and Business at the University of Ljubljana, which positions the course as an enabling environment for personal transformation and action. Through experiential learning, collaboration with social enterprises, and structured reflection, students strengthen their values, confidence, and sense of agency. Follow-up interviews with five alumni show that this pedagogical design contributed to continued involvement in volunteering, community initiatives, and social enterprise creation. The article offers transferable design principles and practical tools for educators aiming to foster real-world social impact beyond the classroom.
Ključne besede: teaching, learning, course design
Objavljeno v RUP: 11.03.2026; Ogledov: 286; Prenosov: 9
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